Question

6 Bob is flying to Croatia for a holiday. When he gets to the airport, he discovers that they

hove a new pricing system for luggage. 2 items of hand luggage plus 1 item to go in the hold
costs £86. 1 item of hand luggage and a piece of luggage to go in the hold costs £66. How
much does it cost to put an item of luggage in the hold?
DP BOOT

Answer 1

£46

Explanation:

You want to know the cost of luggage in the hold when 2 in the hand and 1 in the hold is £86, and 1 in the hand and 1 in the hold is £66.

Relations

Let 'a' and 'b' represent the costs of a piece of hand luggage and one in the hold, respectively. Then the given relations are ...

2a +b = 86

a +b = 66

Solution

Subtracting the first equation from twice the second gives ...

2(a +b) -(2a +b) = 2(66) -(86)

b = 46 . . . . . . . simplify

It costs £46 to put an item of luggage in the hold.